Answer
$\sqrt{5}cis63.43^\circ$ or $\sqrt{5}(cos 63.43^\circ + isin63.43^\circ)$
Work Step by Step
$1 + 2i$ is at $arctan(\frac{2}{1}) = 63.43^\circ$ with absolute value $\sqrt{1^2 + 2^2} =\sqrt{5}$, the equivalent trigonometric form is $\sqrt{5}cis63.43^\circ$ or $\sqrt{5}(cos 63.43^\circ + isin63.43^\circ)$.